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Finding the Fourth Proportional to 106,906.08, 160,311.72 and 56,976.88

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Solution

The fourth proportional to 106,906.08, 160,311.72 and 56,976.88 is: 85,440.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,906.08 : 160,311.72 = 56,976.88 : x
  2. Step 2: Convert to fraction form
    106,906.08/160,311.72 = 56,976.88/x
  3. Step 3: Cross multiply
    106,906.08x = 160,311.72 × 56,976.88
  4. Step 4: Simplify right side
    106,906.08x = 9,134,061,633.03
  5. Step 5: Solve for x
    x = 9,134,061,633.03/106,906.08
  6. Step 6: Final answer
    x = 85,440.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.